146667072 has 56 divisors (see below), whose sum is σ = 396337536. Its totient is φ = 47845888.

The previous prime is 146667071. The next prime is 146667089. The reversal of 146667072 is 270766641.

146667072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×146667072² = 43022460018106368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146667072.

It is not an unprimeable number, because it can be changed into a prime (146667071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 898 + ... + 17150.

It is an arithmetic number, because the mean of its divisors is an integer number (7077456).

Almost surely, 2^146667072 is an apocalyptic number.

146667072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146667072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198168768).

146667072 is an abundant number, since it is smaller than the sum of its proper divisors (249670464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146667072 is a wasteful number, since it uses less digits than its factorization.

146667072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16315 (or 16305 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 146667072 is about 12110.6181510276. The cubic root of 146667072 is about 527.3644787113.

The spelling of 146667072 in words is "one hundred forty-six million, six hundred sixty-seven thousand, seventy-two".